Greatest and Least Integer Functions

What is the definition of the greatest integer function?

• The greatest integer function rounds a real number to the nearest odd integer.

• The greatest integer function rounds a real number to the nearest even integer.

• The greatest integer function rounds a real number down to the nearest integer.

• The greatest integer function rounds a real number up to the nearest integer.

What is the definition of the least integer function?

• The least integer function rounds a real number down to the nearest integer less than or equal to that number.

• The least integer function rounds a real number to the nearest odd integer.

• The least integer function rounds a real number to the nearest even integer.

• The least integer function rounds a real number up to the nearest integer greater than or equal to that number.

How is the greatest integer function represented graphically?

• Linear function

• Exponential function

• Quadratic function

• Step function

How is the least integer function represented graphically?

• Exponential function

• Linear function

• Quadratic function

• Step function

What is the greatest integer of -3.8?

• -4.5

• -3

• -5

• -4

What is the least integer of 5.2?

• 4

• 5.5

• 6

• 5

What is the greatest integer of 0?

• 1

• -1

• 0

• 10

What is the least integer of -2?

• 2

• -2

• 1

• 0

Graphically, what does the greatest integer function look like for x values between -5 and 5?

• A series of horizontal lines at each integer value with open circles at the left endpoints and closed circles at the right endpoints.

• A series of curved lines connecting each integer value with open circles at both endpoints.

• A series of diagonal lines at each integer value with open circles at the left endpoints and closed circles at the right endpoints.

• A series of vertical lines at each integer value with open circles at the top endpoints and closed circles at the bottom endpoints.

Graphically, what does the least integer function look like for x values between -3 and 3?

• Vertical line at x = -3.

• Exponential curve.

• Horizontal line at y = -3

• Sine wave.